TL;DR
This paper extends transformation optics to transformation magneto-statics, enabling the design of novel magnetic field illusions and control methods through coordinate transformations, verified by numerical simulations.
Contribution
It introduces a new theoretical framework for transformation magneto-statics, allowing the design of magnets with specific magnetic field illusions.
Findings
Designed magnets that create magnetic field illusions such as shrinking, cancelling, and overlapping.
Verified the designs through numerical simulations.
Opened new possibilities for magnetic field control and magnet design.
Abstract
Based on the form-invariant of Maxwell's equations under coordinate transformations, we extend the theory of transformation optics to transformation magneto-statics, which can design magnets through coordinate transformations. Some novel DC magnetic field illusions created by magnets (e.g. shirking magnets, cancelling magnets and overlapping magnets) are designed and verified by numerical simulations. Our research will open a new door to designing magnets and controlling DC magnetic fields.
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